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34166112 = 253479743
BaseRepresentation
bin1000001001010…
…1010101100000
32101021211002120
42002111111200
532221303422
63220144240
7563256441
oct202252540
971254076
1034166112
1118316562
12b538080
137103346
1447752c8
152eed45c
hex2095560

34166112 has 48 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 11349632.

The previous prime is 34166101. The next prime is 34166137. The reversal of 34166112 is 21166143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45613 + ... + 46355.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 234166112 is an apocalyptic number.

34166112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34166112 is an abundant number, since it is smaller than the sum of its proper divisors (55828128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34166112 is a wasteful number, since it uses less digits than its factorization.

34166112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1227 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 34166112 is about 5845.1785259306. The cubic root of 34166112 is about 324.4879099138.

The spelling of 34166112 in words is "thirty-four million, one hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 479 743 958 1437 1486 1916 2229 2874 2972 3832 4458 5748 5944 7664 8916 11496 11888 15328 17832 22992 23776 35664 45984 71328 355897 711794 1067691 1423588 2135382 2847176 4270764 5694352 8541528 11388704 17083056 34166112